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Finding the Fourth Proportional to 678.93, 1,017.90 and 216.45

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Solution

The fourth proportional to 678.93, 1,017.90 and 216.45 is: 324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.93 : 1,017.90 = 216.45 : x
  2. Step 2: Convert to fraction form
    678.93/1,017.90 = 216.45/x
  3. Step 3: Cross multiply
    678.93x = 1,017.90 × 216.45
  4. Step 4: Simplify right side
    678.93x = 220,319.37
  5. Step 5: Solve for x
    x = 220,319.37/678.93
  6. Step 6: Final answer
    x = 324.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.